How to Identify Functions | Mathcation
How to Identify Functions
In order to Identifying Functions from a Graph and Table you must first understand what a function is. A function is a mathematical relationship where every input has one, and only one, output. In other words, all inputs must have exactly one output. If there is more then one output for one input, then the relationship is not a function. When Identifying Functions from a Graph you must look at the graph to determine if each x-value only has one y-value associated with it. An easy way to tell if a graph is a function is to see if it passes the Vertical Line Test. If you can draw a vertical line anywhere on the grid and it crosses the equation in more then one place then it does not pass the test and is not a function. When Identifying Functions from a Table you need to determine if each x-value has only one y-value associated with it. if there is more then one y-value associated with any x-value, then it is not a function.
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